The joint distribution and density/mass functions
of \(\mathbf {Y}=(Y_1,\ldots ,Y_m)^\top \) , \(\mathbf {U}=(U_1,\ldots ,U_m)^\top \)  and \(\mathbf {Z}=(Z_1,\ldots ,Z_m)^\top \)  are given. The joint
density of \(\mathbf {Y}\)  is given separately when all the elements are continuous and when all the elements are discrete.
When some elements are discrete and others continuous,
the mixed density is given in [1]}. In this table, \({\cal D}_{Y_j}\)  is the domain of \(Y_j\) , and \({\cal D}_{Z_j}\)  is the domain of \(Z_j\) .
